Finite Group Databasebeta

← Group #11889123

Character table — Group #11889123

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222444444444444668888888888888881212121212121212121212121212121616161616162424242424242424242424243636363648487272
order12223344666666344666121212121212224412121212121212121212121212244446688121212121212121212121212224681212122424242422886648
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1111111111111-1-111-1111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-111-1-11-1-1111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1111-1-11111-1-111-1-1-11
χ41111111111111111111111111111-1-111-1-11-1-1111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-111-11-11-1-1-1-1-1-111-1-1111-1
χ511111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-11-1-1-11111-1-1-1-111-1-1
χ611111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111-1-1-1-111-1-11-1-1111111-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-11-11-111111111-1-1-1-11-1
χ811111111111111111111111111-1-1-1-111-1-11-1-1111111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-11111-11
χ9111111111111111-1-1111-1-11111111-1-1-111-1-1-111-1-1-1-1-11-1-1-11111-1-1-1-1-1-11-111-1-11-11-1-111111-1-1-1-1111-11-1
χ10111111111111111-1-1111-1-11111111-1-1-111-1-1-111-1-1-1-1-11-1-1-111-1-1-1-1-1-1-1-11-111-1-1-111-11111-1-11111-1-1-11-11
χ11111111111111111-1-1111-1-1111111-11-1-1-1-1-11111-1-1-1-1-11-11111111111-1-1-11-1-111-11-1-1-11-1-111-1-11111-11-1-1
χ12111111111111111-1-1111-1-1111111-11-1-1-1-1-11111-1-1-1-1-11-11111-1-11111-1-1-11-1-1111-1-1-111-1-1-1-111-1-1-1-11-111
χ13111111111111111-1-1111-1-11111-1-11-1-1-111-1-1-111-1-1-1-11-1111-1-1111111111-111-1-11-1-11-1-1-1-111-1-111-1-11-1-11
χ14111111111111111-1-1111-1-11111-1-11-1-1-111-1-1-111-1-1-1-11-1111-1-1-1-11111111-111-1-1-11-111-1-1-1-1-111-1-111-111-1
χ15111111111111111-1-1111-1-11111-1-1-11-1-1-1-1-11111-1-1-1-11-11-1-1-1-111-1-1-1-111-11-1-111-1111-1-11111-1-1-1-1-1-1-1111
χ16111111111111111-1-1111-1-11111-1-1-11-1-1-1-1-11111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-111-11-1-1111-1111-111-1-11111111-1-1-1
χ17222222-2-222222222-222222-2-2-2-222002-200-200-2-222-2-2-2-22002200000022000000000-20-200000000000000
χ18222222-2-222222222-222222-2-2-2-2-2-2002-200-200-2-222-2-222-200-2-2000000-2-200000000020200000000000000
χ19222222-2-22222222-22222-2-2-2-2-2-22200-2200200-2-2-2-2222-2-20022000000-2-200000000020-200000000000000
χ20222222-2-22222222-22222-2-2-2-2-2-2-2-200-2200200-2-2-2-222-22200-2-200000022000000000-20200000000000000
χ2122222-122-12-1-122-122-1-1-12222-1-10022-1-122222-1-1-1-1-1-1000000022000000-1-1-1-1-1-122002000-1-1-1-10000-1-100
χ2222222-122-12-1-122-122-1-1-12222-1-10022-1-122222-1-1-1-1-1-10000000-2-2000000-1-1-1-1-1-1-2-200-2000111100001100
χ2322222-122-12-1-122-122-1-1-12222-1-100-2-2-1-1-2-22-2-2-1-1-1-1-1-1000000022000000111111-2-2002000-1-1-1-100001100
χ2422222-122-12-1-122-122-1-1-12222-1-100-2-2-1-1-2-22-2-2-1-1-1-1-1-10000000-2-20000001111112200-200011110000-1-100
χ2522222-122-12-1-122-1-2-2-1-1-1-2-222-1-1002-21122-2-2-2-1-11111000000022000000-11-1-1112-200-2000-1-1110000-1100
χ2622222-122-12-1-122-1-2-2-1-1-1-2-222-1-1002-21122-2-2-2-1-111110000000-2-2000000-11-1-111-2200200011-1-100001-100
χ2722222-122-12-1-122-1-2-2-1-1-1-2-222-1-100-2211-2-2-222-1-111110000000220000001-111-1-1-2200-2000-1-11100001-100
χ2822222-122-12-1-122-1-2-2-1-1-1-2-222-1-100-2211-2-2-222-1-111110000000-2-20000001-111-1-12-200200011-1-10000-1100
χ292222-12222-122-1-1-122-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-122222-1-100-1-1-1-1-1-122-1-1-1-1002-10-1-1-1000000000000
χ302222-12222-122-1-1-122-1-1-1-1-1-1-12222-2-22211-111-1-1-1-1-1-1222-2-2-1-1001111-1-1-2-2111100-2-10-111000000000000
χ312222-12222-122-1-1-122-1-1-1-1-1-1-122-2-22222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2110011111122-1-1-1-100-210111000000000000
χ322222-12222-122-1-1-122-1-1-1-1-1-1-122-2-2-2-22211-111-1-1-1-1-1-1-2-2-2221100-1-1-1-111-2-21111002101-1-1000000000000
χ332222-12222-122-1-1-1-2-2-1-1-111-1-122222-2-2-2-1-1111-1-11111-22-2-2-2-1-1001111112-2-1-11100210-1-1-1000000000000
χ342222-12222-122-1-1-1-2-2-1-1-111-1-12222-22-2-2111-1-1-1-11111-22-222-1-100-1-1-1-111-2211-1-100-210-111000000000000
χ352222-12222-122-1-1-1-2-2-1-1-111-1-122-2-22-2-2-2-1-1111-1-111112-22221100-1-1-1-1-1-12-2-1-11100-2-10111000000000000
χ362222-12222-122-1-1-1-2-2-1-1-111-1-122-2-2-22-2-2111-1-1-1-111112-22-2-211001111-1-1-2211-1-1002-101-1-1000000000000
χ372222-12-2-22-122-1-1-12-2-1-1-1-1-111-2-222002-2−i3i31−i3i311-1-111-2-2200-1-100−i3−i3i3i3-1-100−i3i3−i3i3000101−i3i3000000000000
χ382222-12-2-22-122-1-1-12-2-1-1-1-1-111-2-222002-2i3−i31i3−i311-1-111-2-2200-1-100i3i3−i3−i3-1-100i3−i3i3−i3000101i3−i3000000000000
χ392222-12-2-22-122-1-1-12-2-1-1-1-1-111-2-2-2-2002-2−i3i31−i3i311-1-11122-2001100i3i3−i3−i31100−i3i3−i3i3000-10-1i3−i3000000000000
χ402222-12-2-22-122-1-1-12-2-1-1-1-1-111-2-2-2-2002-2i3−i31i3−i311-1-11122-2001100−i3−i3i3i31100i3−i3i3−i3000-10-1−i3i3000000000000
χ412222-12-2-22-122-1-1-1-22-1-1-11111-2-22200-22−i3i3-1i3−i31111-1-12-2-200-1-100i3i3−i3−i31100−i3i3i3−i3000-101−i3i3000000000000
χ422222-12-2-22-122-1-1-1-22-1-1-11111-2-22200-22i3−i3-1−i3i31111-1-12-2-200-1-100−i3−i3i3i31100i3−i3−i3i3000-101i3−i3000000000000
χ432222-12-2-22-122-1-1-1-22-1-1-11111-2-2-2-200-22−i3i3-1i3−i31111-1-1-222001100−i3−i3i3i3-1-100−i3i3i3−i300010-1i3−i3000000000000
χ442222-12-2-22-122-1-1-1-22-1-1-11111-2-2-2-200-22i3−i3-1−i3i31111-1-1-222001100i3i3−i3−i3-1-100i3−i3−i3i300010-1−i3i3000000000000
χ452-22-2222-22-2-2-2-222002-2-2002-22-2000000000002-200000002i−2i002i−2i2i−2i2i−2i00000000000000002i−2i002-2000000
χ462-22-2222-22-2-2-2-222002-2-2002-22-2000000000002-200000002i−2i00−2i2i2i−2i2i−2i0000000000000000−2i2i00-22000000
χ472-22-2222-22-2-2-2-222002-2-2002-22-2000000000002-20000000−2i2i002i−2i−2i2i−2i2i00000000000000002i−2i00-22000000
χ482-22-2222-22-2-2-2-222002-2-2002-22-2000000000002-20000000−2i2i00−2i2i−2i2i−2i2i0000000000000000−2i2i002-2000000
χ4944444-2-4-4-24-2-244-24-4-2-2-244-4-4220000-2200-40022-2-22200000000000000000000000000000000000000000
χ5044444-2-4-4-24-2-244-2-44-2-2-2-4-4-4-42200002-2004002222-2-200000000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-20044-2-2-2-2-2-2-2111111000000000000000-2-2111100000000000000000000
χ524444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-200-4-4-2-222-22211111100000000000000022-1-1-1-100000000000000000000
χ534444-2-244-2-2-2-2-2-21-4-411122-2-2-2-2004-422-2-222211-1-1-1-1000000000000000-2211-1-100000000000000000000
χ544444-2-244-2-2-2-2-2-21-4-411122-2-2-2-200-4422222-2-211-1-1-1-10000000000000002-2-1-11100000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-214-4111-2-222220000-22−2i32i32−2i32i3-1-111-1-100000000000000000i3−i3i3−i300000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-214-4111-2-222220000-222i3−2i322i3−2i3-1-111-1-100000000000000000−i3i3−i3i300000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-21-4411122222200002-2−2i32i3-22i3−2i3-1-1-1-11100000000000000000i3−i3−i3i300000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-21-4411122222200002-22i3−2i3-2−2i32i3-1-1-1-11100000000000000000−i3i3i3−i300000000000000000000
χ5944-4-44400-444-4-4-4400-44-40000000000000000000000000000000000000000000000000000000000−2i22i20000
χ6044-4-44400-444-4-4-4400-44-400000000000000000000000000000000000000000000000000000000002i2−2i20000
χ614-44-444-444-4-4-4-444004-4-400-44-4400000000000-44000000000000000000000000000000000000000000000
χ624-44-44-24-4-2-422-44-200-222004-4-2200000000000-22000000000004i−4i00000000000000000000−2i2i0000000000
χ634-44-44-24-4-2-422-44-200-222004-4-2200000000000-2200000000000−4i4i000000000000000000002i−2i0000000000
χ644-44-44-2-44-2-422-44-200-22200-442-2000000000002-20000000000000000000000000000000000023−2300000000
χ654-44-44-2-44-2-422-44-200-22200-442-2000000000002-200000000000000000000000000000000000−232300000000
χ664-44-4-244-442-4-42-2-200-22200-224-400000000000-2200000004i−4i0000−2i2i−2i2i0000000000000000000000000000
χ674-44-4-244-442-4-42-2-200-22200-224-400000000000-220000000−4i4i00002i−2i2i−2i0000000000000000000000000000
χ684-44-4-24-4442-4-42-2-200-222002-2-44000000000002-2000000000000023−23−23230000000000000000000000000000
χ694-44-4-24-4442-4-42-2-200-222002-2-44000000000002-20000000000000−232323−230000000000000000000000000000
χ704-4-444400-4-4-444-4400-4-440000004-4000000000000000000004-40000000000000000000000000000000000
χ714-4-444400-4-4-444-4400-4-44000000-4400000000000000000000-440000000000000000000000000000000000
χ724-4-44-2400-42-44-22-20022-223−2300004-40000000000023−230000000-2200000023−2300000000000000000000000000
χ734-4-44-2400-42-44-22-20022-223−230000-440000000000023−2300000002-2000000−232300000000000000000000000000
χ744-4-44-2400-42-44-22-20022-2−232300004-400000000000−23230000000-22000000−232300000000000000000000000000
χ754-4-44-2400-42-44-22-20022-2−23230000-4400000000000−232300000002-200000023−2300000000000000000000000000
χ7688-8-88-40048-44-8-8-4004-440000000000000000000000000000000000000000000000000000000000000000
χ7788-8-8-4800-8-48-844-4004-440000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-4-4004-4-4444200-22-20000000000000000000006i−6i00000000000000000000000000000000000000000
χ7988-8-8-4-4004-4-4444200-22-2000000000000000000000−6i6i00000000000000000000000000000000000000000
χ808-88-8-4-48-8-44444-42002-2-200-44-44000000000002-2000000000000000000000000000000000000000000000
χ818-88-8-4-4-88-44444-42002-2-2004-44-400000000000-22000000000000000000000000000000000000000000000
χ828-8-888-4004-84-48-8-40044-40000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-400444-4-44200-2-2243−4300000000000000000−23230000000000000000000000000000000000000000000
χ848-8-88-4-400444-4-44200-2-22−43430000000000000000023−230000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).